Higher Order Derivatives|Chapter 04| One Shot Complete Lecture Notes For Polytechnic
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Applied Mathematics - ll : Higher Order Derivatives|Chapter 04| One Shot Complete Lecture Notes For Polytechnic
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| ( one Short Lecture ) |
Hey Everyone, How are you ... Today I will tell you How to Differentiate Of Function In first Order, Second Order & So On , Which is Complete lecture of Chapter 04 Higher Order Derivatives.
Complete Lecture ( Topics ) :
1 ) Differentiation OF function in first order , Second Order & So On .
2 ) Some Important Questions
3 ) Lecture Related Questions
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| ( Overview ) |
1 ) Differentiation OF function in first order , Second Order & So On .
Let be , y = F ( x )
- The Derivative Of F (x ) with respect to x is called First Order Derivative
dy/dx = F' (x )
- The Derivative Of F' (x ) with respect to x is called second Order Derivative
d²y/ dx² = F''(x )
- The Derivative Of F'' (x ) with respect to x is called Third Order Derivative
d³y/dx³ = F'"(X)
- The Derivative Of F^n (x ) with respect to x is called n Order Derivative
d^ny/dx^n =F^n (x )
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| ( Introduction ) |
2 ) Some Important Questions
Question 01 )
If y = x³ + tanx , Find d²y/dx² .
Solution : View On This Page
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| ( Question 01 ) |
Question 02 )
If x = a ( θ + Sinθ ) & y = a ( 1 - Cosθ ) Show That d²y/dx² = 1/4a Sec⁴θ/2
Solution : View On This Page
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| ( Question 02 ) |
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| ( Question 02 ) |
Question 03 )
If y = Cos-¹x , Find d²y / dx² in term Of Y alone
Solution : View On This Page
Question 04 )
If y = A Sinx + B Cosx , Prove that d²y / dx² +y = 0
Solution : View On This Page
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| ( Question 04 ) |
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| ( Question 04 ) |
Question 05 )

If Y = 3e^x + 2e^ 3x , Prove that d²y/dx² - 5dy/dx +6y = 0
Solution : View On This Page
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| ( Question 05 ) |
Question 06 )
If y = A Cos( log x ) + B sin( log x ) ,prove that x²d²y/dx² +xdy/dx +y =0 .
Solution : View In This page
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| ( Question 06 ) |
Question 07 )
If Y = (tan-¹x )² , Show that (x² +1 )y'' + 2x (x² + 1 )y' = 2
Solution : View On This Page
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| ( Question 07 ) |
Lecture Related Questions ;
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| ( Lecture Related Question ) |
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| ( Lecture Related Question ) |
Complete Lecture Notes | Chapter 0r | Higher Order Derivative Notes ;
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